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Published byEugenia Kathryn Allison Modified over 5 years ago

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Radicals Solving Radical Equations

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9/9/2013 Radicals 2 What is a radical ? Symbol representing a fractional power Radical with index: For roots other than second Index n corresponds to exponent n 1 n

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9/9/2013 Radicals 3 Radical Functions Definition: A radical function f(x) is defined by f(x) = x b for b = 1/n for some integer n ≥ 2 Examples: f(x) = x 1/2 f(x) = x 1/3 Radicals x = x 3 =

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9/9/2013 Radicals 4 Rational Exponent Equations Solve: 1. x 1/4 = 3 2. 2x 1/3 – 5 = 1 3. n –2 + 3n –1 + 2 = 0 Radicals

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9/9/2013 Radicals 5 Radical Equations Solve: 1. 2. 3. Radicals = x + 1 x + 5 5x – 6 = x = + 3 3x + 4 x + 1

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9/9/2013 Radicals 6 Radicals and Extraneous Roots Solve: 1. 2. 3. Radicals 4 – 3x = x + 8 Caution: Always check for extraneous solutions when raising radical expressions to EVEN powers = x + 1x – 5 = x + 1 2x + 3 4

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9/9/2013 Radicals 7 Think about it !

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